A ball is dropped from a high-rise platform at \(t=0\) starting from rest. After \(6\) seconds, another ball is thrown downwards from the same platform with speed \(v\). The two balls meet after \(18\) seconds. What is the value of \(v\)?

1. \(75\) ms-1 2. \(55\) ms-1
3. \(40\) ms-1 4. \(60\) ms-1

Subtopic:  Uniformly Accelerated Motion |
 58%
From NCERT
AIPMT - 2010
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A particle moves a distance \(x\) in time \(t\) according to equation \(x=(t+5)^{-1}.\) The acceleration of the particle is proportional to:
1. (velocity)\(3/2\)
2. (distance)\(2\)
3. (distance)\(-2\)
4. (velocity)\(2/3\)

Subtopic:  Acceleration |
 70%
From NCERT
AIPMT - 2010
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A bus is moving at a speed of \(10\) ms-1 on a straight road. A scooterist wishes to overtake the bus in \(100\) s. If the bus is at a distance of \(1\) km from the scooterist, with what speed should the scooterist chase the bus?
1. \(20\) ms-1
2. \(40\) ms-1
3. \(25\) ms-1
4. \(10\) ms-1
Subtopic:  Relative Motion in One Dimension |
 77%
From NCERT
AIPMT - 2009
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A particle starts its motion from rest under the action of a constant force. If the distance covered in the first \(10\) s is \(S_1\) and that covered in the first \(20\) s is \(S_2\), then:
1. \(S_2=2S_1\)
2. \(S_2 = 3S_1\)
3. \(S_2 = 4S_1\)
4. \(S_2= S_1\)

Subtopic:  Acceleration |
 70%
From NCERT
AIPMT - 2009
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The distance travelled by a particle starting from rest and moving with an acceleration \(\frac{4}{3}\) ms-2, in the third second is:
1. \(6\) m
2. \(4\) m
3. \(\frac{10}{3}\) m
4. \(\frac{19}{3}\) m

Subtopic:  Distance & Displacement |
 79%
From NCERT
AIPMT - 2008
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A particle shows the distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:

         

1. B
2. C
3. D
4. A

Subtopic:  Graphs |
 79%
From NCERT
AIPMT - 2008
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A particle moves in a straight line with a constant acceleration. It changes its velocity from \(10\) ms-1 to \(20\) ms-1 while covering a distance of \(135\) m in \(t\) seconds. The value of \(t\) is:

1. \(10\) 2. \(1.8\)
3. \(12\) 4. \(9\)
Subtopic:  Uniformly Accelerated Motion |
 78%
From NCERT
AIPMT - 2008
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The position of a particle with respect to time \(t\) along the \(\mathrm{x}\)-axis is given by \(9t^{2}-t^{3}\) where x is in metre and \(t\) in second. What will be the position of this particle when it achieves maximum speed along the \(+\mathrm{x}\) direction?
1. \(32\) m
2. \(54\) m
3. \(81\) m
4. \(24\) m

Subtopic:  Non Uniform Acceleration |
 77%
From NCERT
AIPMT - 2007
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A car moves from \(X\) to \(Y\) with a uniform speed \(v_u\) and returns to \(X\) with a uniform speed \(v_d.\) The average speed for this round trip is:

1. \(\frac{2 v_{d} v_{u}}{v_{d} + v_{u}}\) 2. \(\sqrt{v_{u} v_{d}}\)
3. \(\frac{v_{d} v_{u}}{v_{d} + v_{u}}\) 4. \(\frac{v_{u} + v_{d}}{2}\)
Subtopic:  Average Speed & Average Velocity |
 82%
From NCERT
AIPMT - 2007
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A particle moving along the x-axis has acceleration \(f,\) at time \(t,\) given by, \(f=f_0\left ( 1-\frac{t}{T} \right ),\)  where \(f_0\) and \(T\) are constants. The particle at \(t=0\) has zero velocity. In the time interval between \(t=0\) and the instant when \(f=0,\) the particle’s velocity \( \left ( v_x \right )\) is:
1. \(f_0T\)
2. \(\frac{1}{2}f_0T^{2}\)
3. \(f_0T^2\)
4. \(\frac{1}{2}f_0T\)

Subtopic:  Non Uniform Acceleration |
 57%
From NCERT
AIPMT - 2007
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